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42870456 = 2332797537
BaseRepresentation
bin1010001110001…
…0011010111000
32222200001012200
42203202122320
541433323311
64130510200
71030251516
oct243423270
988601180
1042870456
1122221232
1212435360
138b60245
14599d4b6
153b6c556
hex28e26b8

42870456 has 48 divisors (see below), whose sum is σ = 117592800. Its totient is φ = 14107392.

The previous prime is 42870449. The next prime is 42870493. The reversal of 42870456 is 65407824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42870456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1920 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (2449850).

Almost surely, 242870456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42870456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58796400).

42870456 is an abundant number, since it is smaller than the sum of its proper divisors (74722344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42870456 is a wasteful number, since it uses less digits than its factorization.

42870456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42870456 is about 6547.5534362081. The cubic root of 42870456 is about 349.9876349373.

The spelling of 42870456 in words is "forty-two million, eight hundred seventy thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 7537 15074 22611 30148 45222 60296 67833 90444 135666 180888 271332 542664 595423 1190846 1786269 2381692 3572538 4763384 5358807 7145076 10717614 14290152 21435228 42870456